Natasha bought 1/4 pound of greeen grapes and 2/3 pound of red grapes. She ate 1/2 pound of the grapes. What is the total amount of grapes Natasha has left?
A. 1 pound
B. 5/12 pound
C. 3/7 pound
D. 6/12 pound
1/4 + 2/3 - 1/2 = 3/12 + 8/12 - 6/12 = ___
To find the total amount of grapes Natasha has left, we need to subtract the amount she ate from the total amount she bought.
First, let's add the amounts of green and red grapes she bought:
1/4 pound of green grapes + 2/3 pound of red grapes
To add these fractions, we need a common denominator. The least common multiple of 4 and 3 is 12. Thus, we can convert 1/4 to twelfths by multiplying the numerator and denominator by 3 and convert 2/3 to twelfths by multiplying the numerator and denominator by 4:
(1/4) * (3/3) pound of green grapes = 3/12 pound of green grapes
(2/3) * (4/4) pound of red grapes = 8/12 pound of red grapes
Now we can add the amounts:
3/12 pound of green grapes + 8/12 pound of red grapes = (3 + 8)/12 pound = 11/12 pound of grapes bought in total
Next, we need to subtract the amount Natasha ate, which is 1/2 pound:
11/12 pound - 1/2 pound
To subtract these fractions, we need a common denominator. The least common multiple of 12 and 2 is 12. We can convert 1/2 to twelfths by multiplying the numerator and denominator by 6:
(1/2) * (6/6) pound = 6/12 pound
Now we can subtract the amounts:
11/12 pound - 6/12 pound = (11 - 6)/12 pound = 5/12 pound
Therefore, the answer is B. Natasha has 5/12 pound of grapes left.